match each correlation coefficient to the appropriate scatter plot. the line in each scatter plot is the…

match each correlation coefficient to the appropriate scatter plot. the line in each scatter plot is the least squares regression line. r = -0.4 r = -0.9

match each correlation coefficient to the appropriate scatter plot. the line in each scatter plot is the least squares regression line. r = -0.4 r = -0.9

Answer

Explanation:

Step1: Understand correlation - coefficient concept

The correlation - coefficient $r$ measures the strength and direction of a linear relationship. The closer $|r|$ is to 1, the stronger the linear relationship. A negative $r$ indicates a negative linear relationship.

Step2: Analyze left - hand scatter - plot

In the left - hand scatter - plot, the points are more spread out around the regression line, indicating a weaker linear relationship. So, it corresponds to $r=-0.4$.

Step3: Analyze right - hand scatter - plot

In the right - hand scatter - plot, the points are closely clustered around the regression line, indicating a stronger linear relationship. So, it corresponds to $r = - 0.9$.

Answer:

Left - hand scatter - plot: $r=-0.4$, Right - hand scatter - plot: $r=-0.9$